Direct scaling analysis of localization in single-particle quantum systems on graphs with diagonal disorder
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Publication:1928785
DOI10.1007/s11040-012-9116-8zbMath1269.47028OpenAlexW1990256463MaRDI QIDQ1928785
Publication date: 4 January 2013
Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11040-012-9116-8
Interacting particle systems in time-dependent statistical mechanics (82C22) Eigenvalue problems for linear operators (47A75) Green's functions for ordinary differential equations (34B27) Random linear operators (47B80)
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Cites Work
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- Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators
- Localization for random Schrödinger operators with correlated potentials
- A new proof of localization in the Anderson tight binding model
- Multi-particle Anderson localisation: Induction on the number of particles
- A Wegner-type estimate for correlated potentials
- Localization bounds for multiparticle systems
- Constructive proof of localization in the Anderson tight binding model
- Asymptotic completeness for quantum mechanical potential scattering. I: Short range potentials
- Dynamical localization for discrete and continuous random Schrödinger operators
- Localization at large disorder and at extreme energies: an elementary derivation
- Wave equations for graphs and the edge-based Laplacian
- Upper bounds for eigenvalues of the discrete and continuous Laplace operators
- Localization for random and quasiperiodic potentials.
- Complete Dynamical Localization in Disordered Quantum Multi-Particle Systems
- Diameters and Eigenvalues
- LOCALIZATION AT WEAK DISORDER: SOME ELEMENTARY BOUNDS
- A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations
- Caught by disorder. Bound states in random media
- Multi-scale analysis implies strong dynamical localization
- Bootstrap multiscale analysis and localization in random media
- Finite-volume fractional-moment criteria for Anderson localization
